Question

Which formula would you use to find out the probability of a doctor's patients being female...

Which formula would you use to find out the probability of a doctor's patients being female or married?

Addition rule I

Complementary Rule

Multiplication Rule

Addition rule II

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Answer: Addition Rule II

Explanation:

According to the Addition Rule II, when 2 events are Non-Mutually Exclusive Events - A and B (events that can occur simultaneously), the probability of either A occuring or B occuring is given by:

P(A or B) = P(A) + P(B) - P(A and B)

In the given question, doctors patients can be both female as well as married at the same time. Hence these are non-mutually exclusive events. As these are Non- Mutually Exclusive events they follows the Addition Rule II.

And they cannot follow Additional Rule I and Complementary Rule as these rules are valid for only mutually exclusive events (events that cannot occur simultaneously). And as they have mentioned 'OR' in the question, it does not follow the Multiplication Rule ( in which 'AND' is used).

Hence the correct answer is Addition Rule II.   

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